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Finding the Fourth Proportional to 1,655.19, 2,281.23 and 1,375.47

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Solution

The fourth proportional to 1,655.19, 2,281.23 and 1,375.47 is: 1,895.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.19 : 2,281.23 = 1,375.47 : x
  2. Step 2: Convert to fraction form
    1,655.19/2,281.23 = 1,375.47/x
  3. Step 3: Cross multiply
    1,655.19x = 2,281.23 × 1,375.47
  4. Step 4: Simplify right side
    1,655.19x = 3,137,763.43
  5. Step 5: Solve for x
    x = 3,137,763.43/1,655.19
  6. Step 6: Final answer
    x = 1,895.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.